On a Theorem in Multi-parameter Potential Theory
نویسنده
چکیده
Let X be an N -parameter additive Lévy process in IR with Lévy exponent (Ψ1, · · · ,ΨN ) and let λd denote Lebesgue measure in IR . We show that E{λd(X(IR+ ))} > 0 ⇐⇒ ∫ IR N ∏ j=1 Re ( 1 1 + Ψj(ξ) ) dξ < ∞. This was previously proved by Khoshnevisan, Xiao and Zhong [1] under a sector condition.
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